Advances in Fuzzy Systems

Research Article

An Extended Interval Type-2 Fuzzy VIKOR Technique with Equitable Linguistic Scales and Z-Numbers for Solving Water Security Problems in Malaysia

Table 4

The judgment matrix.
ā€‰CR1CR2CR3CR4CR5
AL1((0.64, 0.74, 0.94, 0.96; 0.8, 0.8)(0.54, 0.74, 0.94, 0.98; 1, 1)), ((0.52, 0.62, 0.82, 0.86; 0.8, 0.8)(0.42, 0.62, 0.82, 0.90; 1, 1))((0.70, 0.80, 1.00, 1.00; 0.8, 0.8)(0.60, 0.80, 1.00, 1.00; 1, 1)), ((0.64, 0.74, 0.94, 0.96; 0.8, 0.8)(0.54, 0.74, 0.94, 0.98; 1, 1))((0.70, 0.80, 1.00, 1.00; 0.8, 0.8)(0.60, 0.80, 1.00, 1.00; 1, 1)), ((0.64, 0.74, 0.94, 0.96; 0.8, 0.8)(0.54, 0.74, 0.94, 0.98; 1, 1))((0.70, 0.80, 1.00, 1.00; 0.8, 0.8)(0.60, 0.80, 1.00, 1.00; 1, 1)), ((0.58, 0.68, 0.88, 0.92; 0.8, 0.8)(0.48, 0.68, 0.88, 0.96; 1, 1))((0.46, 0.56, 0.76, 0.80; 0.8, 0.8)(0.36, 0.56, 0.76, 0.84; 1, 1)), ((0.40, 0.50, 0.70, 0.76; 0.8, 0.8)(0.30, 0.50, 0.70, 0.82; 1, 1))
AL2((0.40, 0.50, 0.70, 0.78; 0.8, 0.8)(0.30, 0.50, 0.70, 0.86; 1, 1)), ((0.40, 0.50, 0.70, 0.74; 0.8, 0.8)(0.30, 0.50, 0.70, 0.78; 1, 1))((0.64, 0.74, 0.94, 0.96; 0.8, 0.8)(0.54, 0.74, 0.94, 0.98; 1, 1)), ((0.58, 0.68, 0.88, 0.92; 0.8, 0.8)(0.48, 0.68, 0.88, 0.96; 1, 1))((0.64, 0.74, 0.94, 0.96; 0.8, 0.8)(0.54, 0.74, 0.94, 0.98; 1, 1)), ((0.52, 0.62, 0.82, 0.86; 0.8, 0.8)(0.42, 0.62, 0.82, 0.90; 1, 1))((0.52, 0.62, 0.82, 0.86; 0.8, 0.8)(0.42, 0.62, 0.82, 0.90; 1, 1)), ((0.34, 0.44, 0.64, 0.70; 0.8, 0.8)(0.24, 0.42, 0.66, 0.76; 1, 1))((0.58, 0.68, 0.88, 0.92; 0.8, 0.8)(0.48, 0.68, 0.88, 0.96; 1, 1)), ((0.52, 0.62, 0.82, 0.88; 0.8, 0.8)(0.42, 0.62, 0.82, 0.94; 1, 1))
AL3((0.58, 0.68, 0.88, 0.90; 0.8, 0.8)(0.48, 0.68, 0.88, 0.92; 1, 1)), ((0.52, 0.62, 0.82, 0.86; 0.8, 0.8)(0.42, 0.62, 0.82, 0.90; 1, 1))((0.58, 0.68, 0.88, 0.90; 0.8, 0.8)(0.48, 0.68, 0.88, 0.92; 1, 1)), ((0.64, 0.74, 0.94, 0.96; 0.8, 0.8)(0.54, 0.74, 0.94, 0.98; 1, 1))((0.58, 0.68, 0.88, 0.90; 0.8, 0.8)(0.48, 0.68, 0.88, 0.92; 1, 1)), ((0.64, 0.74, 0.94, 0.96; 0.8, 0.8)(0.54, 0.74, 0.94, 0.98; 1, 1))((0.52, 0.62, 0.82, 0.86; 0.8, 0.8)(0.42, 0.62, 0.82, 0.90; 1, 1)), ((0.40, 0.50, 0.70, 0.76; 0.8, 0.8)(0.30, 0.50, 0.70, 0.82; 1, 1))((0.40, 0.50, 0.70, 0.74; 0.8, 0.8)(0.30, 0.48, 0.72, 0.78; 1, 1)), ((0.28, 0.38, 0.58, 0.64; 0.8, 0.8)(0.18, 0.34, 0.62, 0.70; 1, 1))
AL4((0.34, 0.44, 0.64, 0.72; 0.8, 0.8)(0.24, 0.42, 0.66, 0.8; 1, 1)), ((0.04, 0.14, 0.34, 0.42; 0.8, 0.8)(āˆ’0.06, 0.14, 0.34, 0.50; 1, 1))((0.24, 0.34, 0.52, 0.58; 0.8, 0.8)(0.16, 0.32, 0.52, 0.64; 1, 1)), ((0.52, 0.62, 0.82, 0.88; 0.8, 0.8)(0.42, 0.62, 0.82, 0.94; 1, 1))((0.12, 0.22, 0.40, 0.46; 0.8, 0.8)(0.04, 0.20, 0.40, 0.52; 1, 1)), ((0.34, 0.44, 0.64, 0.70; 0.8, 0.8)(0.24, 0.42, 0.66, 0.76; 1, 1))((0.70, 0.80, 1.00, 1.00; 0.8, 0.8)(0.60, 0.80, 1.00, 1.00; 1, 1)), ((0.58, 0.68, 0.88, 0.92; 0.8, 0.8)(0.48, 0.68, 0.88, 0.96; 1, 1))((0.46, 0.56, 0.76, 0.82; 0.8, 0.8)(0.36, 0.56, 0.76, 0.88; 1, 1)), ((0.40, 0.50, 0.70, 0.76; 0.8, 0.8)(0.30, 0.50, 0.70, 0.82; 1, 1))
AL5((0.64, 0.72, 0.88, 0.88; 0.8, 0.8)(0.56, 0.72, 0.88, 0.88; 1, 1)), ((0.64, 0.72, 0.88, 0.88; 0.8, 0.8)(0.56, 0.72, 0.88, 0.88; 1, 1))((0.64, 0.72, 0.88, 0.88; 0.8, 0.8)(0.56, 0.72, 0.88, 0.88; 1, 1)), ((0.64, 0.72, 0.88, 0.88; 0.8, 0.8)(0.56, 0.72, 0.88, 0.88; 1, 1))((0.58, 0.68, 0.88, 0.90; 0.8, 0.8)(0.48, 0.68, 0.88, 0.92; 1, 1)), ((0.58, 0.68, 0.88, 0.90; 0.8, 0.8)(0.48, 0.68, 0.88, 0.92; 1, 1))((0.64, 0.74, 0.94, 0.96; 0.8, 0.8)(0.54, 0.74, 0.94, 0.98; 1, 1)), ((0.64, 0.74, 0.94, 0.96; 0.8, 0.8)(0.54, 0.74, 0.94, 0.98; 1, 1))((0.58, 0.68, 0.88, 0.92; 0.8, 0.8)(0.48, 0.68, 0.88, 0.96; 1, 1)), ((0.58, 0.68, 0.88, 0.92; 0.8, 0.8)(0.48, 0.68, 0.88, 0.96; 1, 1))
AL6((0.58, 0.68, 0.88, 0.90; 0.8, 0.8)(0.48, 0.68, 0.88, 0.92; 1, 1)), ((0.58, 0.68, 0.88, 0.90; 0.8, 0.8)(0.48, 0.68, 0.88, 0.92; 1, 1))((0.64, 0.74, 0.94, 0.96; 0.8, 0.8)(0.54, 0.74, 0.94, 0.98; 1, 1)), ((0.64, 0.74, 0.94, 0.96; 0.8, 0.8)(0.54, 0.74, 0.94, 0.98; 1, 1))((0.58, 0.68, 0.88, 0.90; 0.8, 0.8)(0.48, 0.68, 0.88, 0.92; 1, 1)), ((0.58, 0.68, 0.88, 0.90; 0.8, 0.8)(0.48, 0.68, 0.88, 0.92; 1, 1))((0.64, 0.74, 0.94, 0.96; 0.8, 0.8)(0.54, 0.74, 0.94, 0.98; 1, 1)), ((0.58, 0.68, 0.88, 0.90; 0.8, 0.8)(0.48, 0.68, 0.88, 0.92; 1, 1))((0.70, 0.80, 1.00, 1.00; 0.8, 0.8)(0.60, 0.80, 1.00, 1.00; 1, 1)), ((0.70, 0.80, 1.00, 1.00; 0.8, 0.8)(0.60, 0.80, 1.00, 1.00; 1, 1))